摘要
研究了原始序列的数乘变换对油水井控制中 GM( 2 ,1 )模型参数和病态性的影响问题 ,建立了数乘变换值分别与 GM( 2 ,1 )模型系数矩阵条件数、模型参数间的量化关系式 ,得到了 GM( 2 ,1 )优化模型完全适用于负数据序列建模、原始序列的初值化或均值化等处理不会影响系统的预测精度和误差。
This paper studies the parameters and ill-conditioned problem of GM(2,1)model in oil water well control based on multiply transformation on original sequence. Formulas between multiply transformation value and condition number of coefficient matrix or parameter in GM(2,1)optimal model are set up. The results find that GM(2,1)model can be used to negative data sequence, initial valuenization and equal valuenization on original sequence which do not affect on the precision and error of the prediction on the one hand, if choosing proper multiply transformation, this approach can reduce ill-conditioned of the coefficient matrix on the other hand.
出处
《武汉理工大学学报（交通科学与工程版）》
北大核心
2004年第5期721-724,共4页
Journal of Wuhan University of Technology（Transportation Science & Engineering）
基金
中国石油天然气股份公司重点攻关项目 ( 0 2 0 10 5 -2 )
关键词
数乘变换
GM(2
1)模型
条件数
病态性
模型参数
multiply transformation
GM(2,1)model
condition number
ill-conditioned
parameter
